Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-18T04:09:03.185Z Has data issue: false hasContentIssue false
  • English
  • Français

EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS

Published online by Cambridge University Press:  03 December 2004

ERIK GUENTNER  and
JEROME KAMINKER
ERIK GUENTNER
Affiliation:
Mathematics Department, University of Hawai'i, Mānoa, 2565 McCarthy Mall, Honolulu, HI 96822, USAerik@math.hawaii.edu
JEROME KAMINKER
Affiliation:
Department of Mathematical Sciences, Indiana University – Purdue University, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USAkaminker@math.iupui.edu
Get access

Abstract

A numerical quasi-isometry invariant $R(\Gamma)$ of a finitely generated group $\Gamma$ is defined whose values parametrize the difference between $\Gamma$ being uniformly embeddable in a Hilbert space and $C^{*}_{r}(\Gamma)$ being exact.

Keywords

46L80
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 703 - 718
Copyright
The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)